A positivity preserving finite element–finite volume solver for the Spalart–Allmaras turbulence model

✍ Scribed by Emmanuel Lorin; Amine Ben Haj Ali; Azzeddine Soulaimani

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 431 KB
• Volume: 196
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2006.10.009

✦ Synopsis

We propose a stable numerical method preserving the positivity of the turbulent viscosity in the Spalart-Allmaras model focusing in particular on the stiffness of the source term. The goal is to apply this model for turbulent flows using an effective numerical method based on a mixed FE-FV method. A mathematical analysis of stability and positivity of the continuous and numerical models is provided. Numerical tests on the 3D boundary layer over a flat plate show the convergence and robustness of the proposed method confirming the theoretical analysis.